✍ Scribed by A. Palma; V. M. León; L. Sandoval
No coin nor oath required. For personal study only.
The convolution theorem is used to evaluate the Franck᎐Condon integral.
It is shown that this integral becomes the matrix element between two ''squeezed'' states. This enables one to evaluate the integral by using boson operators. In addition, a general method is developed to obtain integrals involving Hermite polynomials with a displaced ² < Ž .< : argument. In particular, the two-center matrix element m f x n , is obtained, where e g e Ž . Ž 2 .
📜 SIMILAR VOLUMES
We derive recursion relations for the polyatomic Franck-Condon factors using a general linear transformation of boson operators.
The Franck-Condon factor for transltlons between different electromc states IS expressed III terms of the Wagner distrlbutton function The vartous cases for quastperlodlc and stochastic type classtcal motion are consldered ## Recently there have been numerous studies of the dynarmcal behavror of co
The aim of this study is to establish a new representation for the dynamic algebra of the Morse oscillator and to establish the raising and lowering operators based on the properties of the confluent hypergeometric functions. Using the representation we have obtained a recurrent analytic method for
With the aid of addition theorems of harmonic oscillator wave functions and associated Laguerre polynomials, the two-dimensional Franck-Condon overlap integrals under the Duschinsky mixing effect are transformed into a separable form. As an illustration, Franck-Condon factors of the 2B2-ZA, band sys